1. Introduction

Passive acoustic monitoring is an effective means of monitoring marine mammals; however, the value of acoustic detections depends on our ability to identify the source of the sounds we detect. Manual classification by trained acousticians can be used to develop a set of training data for supervised classification algorithms, such as BANTER (Bio-Acoustic eveNT classifiER).

A BANTER acoustic classifier is written in open source software, R, and requires minimal human intervention, providing more consistent results with fewer biases and errors than manual classification. BANTER also produces a classification error rate which is valuable for evaluating predicted labels when there is no independent verification of species identity. BANTER has been developed in a general manner such that it can be applied to sounds from any source (anthropogenic, terrestrial animals, marine animals).

BANTER is a flexible, hierarchical supervised machine learning algorithm for classifying acoustic events consisting of two stages, each consisting of a set of Random Forest classifiers (Rankin et al. 2017). For the purposes of the model, an acoustic event is any related set of acoustic recordings of a single or set of individual animals collected at the same time and place. For example, this could be a single sighting of a school of dolphins that were continuously recorded from the start to the end of the sighting. Alternatively, this recording could also be subset into several events, if for example, there were periods where the dolphins were out of range of the recorder or there was excessive ship noise.

The first stage of the algorithm is to build a set of individual classification models for each call type (e.g. whistle, echolocation, burst pulses) that were extracted from the event. These are referred to as “Detector Models”. In the second stage, the results from the first stage Detector Models (specifically, the mean of the species classification probabilities for each call type) are combined with event-level variables, such as length of the event or location of the event, to create a model classifying each event to species. This model is referred to as the “Event Model”.

BANTER classifier models (both the Detector and Event Models) are based on the Random Forest supervised learning algorithm (randomForest package in R, Liaw and Wiener 2002). A Random Forest model is a suite of a large number of decision trees, each trained on a different subset of the data, with predictions beeing aggregated across all trees (the forest). For each decision tree in the forest, some portion of the samples will be left out during the construction of the decision tree (referred to as the Out-Of-Bag or OOB samples). The model internally evaluates its own performance by running each of the OOB samples through the trees they are OOB for and comparing its predicted group classification to the a-priori designated group. Thus, there is no need for separate cross-validation or another test to get an unbiased estimate of the classification error. Random Forest can handle a large number of input variables which can be discrete or categorical, is not prone to issues related to correlated variables, and does not require that predictors fit any particular parametric distribution. The random subsetting of samples and variables, and use of OOB samples prevents overfitting of the model.

Here we present a user guide for the BANTER acoustic classification algorithm, using the built-in datasets provided in the BANTER package.

2. Methods

At a minimum, BANTER requires data to train a classifier which can then be applied to predict species identity on a novel dataset that has the same predictors. Here we will use data provided within the BANTER R package for both training and testing models.

Once you have the data, you first need to initialize a BANTER model to train. The BANTER model can be developed in stages (first the Detector Model, then the Event Model) or all at once. We suggest running these separately so that each model can be modified to improve performance and ensure stability. Once the models are optimized, we present options for summarizing and interpreting your results.

This guide was developed based on BANTER version 0.9.4.

2.1 Data Requirements and Limitations

BANTER has flexible data requirements which allow it to be applied to a wide array of training data. BANTER consists of two stages: (1) Detector Models and (2) Event Model. At its core, BANTER is an event classifier: it classifies a group of sounds observed at the same time. Multiple call type detectors can be considered; if your species of interest only produces a single call type, we have found that minor changes to the detector settings can lead to differences between species that can be informative (see discussion of multiple whistle and moan detectors in Rankin et al. 2017).

BANTER accepts raw data in a generic R data frame format. There can be one or more detector data frame and only one event data frame.

The event data frame must have one row per event. The columns must be:

  • event.id a unique character or number identifying each event.
  • species a character or number that assigns each event to a given species.
  • All other columns will be used as predictor variables for the event (i.e. event-level variables).
    Note: The species column is only required when training a model. It is not required for predicting on novel data.

Each detector data frame must have one row per call. The columns must be:

  • event.id a unique character or number identifying each event. This is used to connect each call to the appropriate event in the event data frame described above.
  • call.id unique character or number for this individual call in this detector.
  • All other columns will be used as predictor variables for the call (i.e. acoustic measures for individual calls).

If you use the PAMGuard open source software, you can process and export your data formatted for BANTER using the export_banter() function in the PAMpal package. This will create a list with three items: ‘events’, ‘detectors’, and ‘na’ following the data frame structure outlined above. You can also use the ‘dropVars’ argument in this function to remove any variables you do not want to include in your BANTER model."

BANTER cannot accommodate missing data (NA). Any predictors with missing data will be excluded from the model. As Random Forest uses OOB data for internal validation, there must be a minimum of two events for each species in your model. Any species with fewer than two events will be excluded from the model. If a species is absent from one of your detector models, but occurs in other detector models, that species can still be can be used in the event model.

BANTER is a supervised machine learning classification model, and the strength of the classifications necessarily relies on the quality of the training data. Likewise, if you are applying a classifier you built to predict novel data, it is imperative that the novel data be collected in the same manner, and have the same variables, as the training data. Here we provide tools to help you assess your model, but we recommend that you do more detailed explorations of your data to fully understand its strengths and limitations.

First, install the following R packages

install.packages(c("banter","rfPermute", "tidyverse"))

Then load the R packages

library(banter)
library(rfPermute)
library(tidyverse)

2.2 Create BANTER Model

We will use the data provided in the BANTER package (train.data). We must first load the training data, and take a look at the first few lines of data.

# load example data
data(train.data) 
# show names of train.data list
names(train.data)
[1] "events"    "detectors"

The train.data object is a list that contains both the event data frame (train.data$events) and a list of data frames for each of three call detectors (train.data$detectors).

2.2.1 Initialize BANTER Model

Once we have our data, the next step is to initialize the BANTER model with the event data:

# initialize BANTER model
bant.mdl <- initBanterModel(train.data$events) 

When the BANTER model has been initialized, it is good to check the summary() to verify the distribution of the number of events for each species:

# summarize BANTER model
summary(bant.mdl)

Number of events and model classification rate:
          species num.events
1      D.capensis          7
2       D.delphis        116
3       G.griseus          5
4 G.macrorhynchus          1
5   L.obliquidens         10
6       O.orcinus          1
7  S.coeruleoalba         13
8         Overall        153

2.2.2 Adding Detectors

The addBanterDetector() function adds Detectors to your model, where the detector information is tagged by Event. If the detector data is a single data frame, then the name of the detector (for example, “bp” is the “bp” detector) needs to be provided (see https://cran.r-project.org/web/packages/banter/banter.pdf). If detector data is a named list of data frames, the name does not need to be provided (can be NULL). The addBanterDetector() function can be called repeatedly to add additional detectors or detectors can be added all at once. If your models require different parameters for different detectors, you may want to model them separately. Here we will load all detectors at once.

# Add BANTER Detectors and Run Detector Models
bant.mdl <- addBanterDetector(
  bant.mdl, 
  data = train.data$detectors, # Identify all detectors in the train.data dataset
  ntree = 100, # Number of trees to run. See section on 'Tune BANTER Model' for more information.
  importance = TRUE, # Retain the importance information for downstream analysis
  sampsize = 2 # Number of samples used for each tree. See section on 'Tune _BANTER_ Model' for more information.
)
Warning: Detector model (dw): sampsize = 2 is >= species frequencies:
  O.orcinus: 2
These species will be used in the model:
  D.capensis: 350
  D.delphis: 5444
  G.griseus: 103
  G.macrorhynchus: 50
  L.obliquidens: 182
  S.coeruleoalba: 486

This initializes and creates the Random Forest detector models for each detector added. The function will generate reports of species excluded from models due to an insufficient number of samples. When complete, a summary of the model shows the mean correct classification rates of each species in each detector:

summary(bant.mdl)

Number of events and model classification rate:
          species num.events    bp    dw     ec
1      D.capensis          7 16.96 30.86 34.000
2       D.delphis        116 25.66 27.22 16.452
3       G.griseus          5 45.60 85.44 38.400
4 G.macrorhynchus          1 22.00 58.00 30.000
5   L.obliquidens         10 49.19 26.92 32.400
6       O.orcinus          1    NA    NA 36.000
7  S.coeruleoalba         13 40.30 43.00  8.462
8         Overall        153 27.41 29.71 18.570

You can then create and examine the Error Trace Plot to determine the stability of your model. You may want to modify the sampsize and ntree parameters in the model to improve performance and ensure a stable model. See the section on Tune BANTER Model for more information on interpreting these plots and tuning your model.

plotDetectorTrace(bant.mdl)

Once you are satisfied with the Detector Models, you are ready to set up and run the second stage BANTER event model. This model will be based on output from the Detector Models, as well as any event-level variables you may have.

bant.mdl <- runBanterModel(bant.mdl, ntree = 10, sampsize = 1)
Warning: Event model: sampsize = 1 is >= species frequencies:
  G.macrorhynchus: 1
  O.orcinus: 1
These species will be used in the model:
  D.capensis: 7
  D.delphis: 115
  G.griseus: 5
  L.obliquidens: 10
  S.coeruleoalba: 13

In these examples, we have chosen some arbitrary values for the ntree (number of trees in the Random Forest) and sampsize (number of samples randomly selected for each species in each tree) parameters. In the next section, we will explore the effect of changing these parameters for both Detector and Event Models to improve performance and model stability.

2.3 Tune BANTER Model

Here, we will discuss several arguments that can be modified to improve model performance, and several functions that can be used to visualize and evaluate the model. The arguments provided in the Detector and/or Event models include:

  • sampsize = bootstrapped number of samples to use in each tree The sample size (sampsize) is the number of samples randomly selected from each species to build each tree in the ‘forest’ (model). Note that for BANTER models, samples are randomly selected without replacement (replace = FALSE in randomForest) as this allows for unbiased, balanced sampling. Increasing sampsize leads to a forest that is trained on smaller set of unique random combinations of samples and may miss patterns in small subsets of the sample space. Decreasing sampsize increases the variation from tree to tree in the forest, which strengthens some of the built-in protections against overfitting. However, this may come at the expense of model performance which can be addressed by increasing the number of trees in the forest (ntree).

The model will use n = sampsize samples for each species when creating each tree in the model, and the remaining samples will be used as out-of-bag (OOB) for model testing. By default, sampsize is set as half of the smallest sample size of all species. By choosing an equal number of samples for each species, a balanced an unbiased model is ensured. Since it is half of the smallest sample size, this ensures that at least half of each species will be OOB for internal validation. Models will run faster for low sample sizes and large number of trees, rather than vice-versa (there is little computational cost to running a very large number of trees). We have conducted tests which show that we can obtain the same performance with sample sizes as low as 1-2 per species and very large numbers of trees (> 10,000).

  • ntree = number of trees There is a low computational cost to increasing the number of trees, so we recommend increasing the number of trees until the classification results are extremely stable (see the plotDetectorTrace() function). Each tree is based on a random subset of samples, and therefore, the more trees you run in your model, the more you can reduce the variance. Therefore, you want to increase ntree until the classification results are stable. In the Error Trace plot below, you want any model variation (vertical movement in any lines) to occur in the first 1-5% of the the total length of the trace, resulting in a trace that is primarily flat (stable).

  • importance = TRUE Importance in Random Forest is a measure of the predictive power of a variable. This variable will be used in downstream processing, and we recommend setting importance=TRUE to save these values in your BANTER detector model (it is automatically saved in the event model). As a tree is trained, a permutation experiment is conducted that scrambles the predictor values. If this scrambling increases the final error rate, then this variable is a relatively important predictor. However, if this experiment shows that changes to the value of this variable do not impact the overall error rate, then this variable is not as important.

  • num.cores = number of cores to use for Random Forest model num.cores refers to the number of cores used by your computer in processing data. The default is num.cores = 1, but it can be set to a maximum of 1 less than the number of cores available on your computer. If num.cores is set to >1, the importance variables cannot be saved. While there may be value in increasing the num.cores during preliminary processing (to ‘tune’ the model), we recommend reducing num.cores = 1 for the final processing in order to allow for importance = TRUE.

Note that BANTER uses the Random Forest default value for the number of predictors to randomly select in building the trees (mtry). We have found that modifying this parameter does not appreciably affect model accuracy or performance.

It is important that your BANTER model is stable: the results should not change when you rerun the model. We will explain how to tune the model using the case of the poorly performing BANTER Event Model we created above. These same methods can be applied to the Detector Models, to ensure that your stage 1 models are stable (in this small case they are reasonably stable).

Once the Event Model has been run, the summary() function provides two useful plots for an initial evaluation of the model:

summary(bant.mdl)
Event model run completed at 2021-09-23 23:59:34
Number of events and model classification rate:
          species num.events    bp    dw     ec event
1      D.capensis          7 16.96 30.86 34.000 28.57
2       D.delphis        116 25.66 27.22 16.452 65.22
3       G.griseus          5 45.60 85.44 38.400 40.00
4 G.macrorhynchus          1 22.00 58.00 30.000    NA
5   L.obliquidens         10 49.19 26.92 32.400  0.00
6       O.orcinus          1    NA    NA 36.000    NA
7  S.coeruleoalba         13 40.30 43.00  8.462 23.08
8         Overall        153 27.41 29.71 18.570 54.67

Distribution of percent correctly classified overall in last 'n' trees:
      n    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
  100.0    54.7    54.7    54.7    54.7    54.7    54.7 

Sample inbag rate distribution:
          Min. 1st Qu. Median  Mean 3rd Qu. Max.
expected 0.009   0.077    0.1 0.106   0.143  0.2
observed 0.000   0.000    0.0 0.033   0.000  0.4

Confusion matrix:
               D.capensis D.delphis G.griseus L.obliquidens S.coeruleoalba
D.capensis              2         3         0             1              1
D.delphis              17        75         6             1             16
G.griseus               1         1         2             0              1
L.obliquidens           0         0         9             0              1
S.coeruleoalba          3         2         3             2              3
Overall                NA        NA        NA            NA             NA
               pct.correct  LCI_0.95 UCI_0.95
D.capensis        28.57143  3.669257 70.95791
D.delphis         65.21739 55.772205 73.85774
G.griseus         40.00000  5.274495 85.33672
L.obliquidens      0.00000  0.000000 30.84971
S.coeruleoalba    23.07692  5.038107 53.81315
Overall           54.66667 46.342759 62.80258

The top plot is the trace of the error by the number of trees. This gives you an idea of the stability of the model. The plot is created using the plotTrace() function from the rfPermute package and shows the cumulative error (y-axis) across an increasing number of trees (x-axis). Much like with the Detector Models, the goal is to have a stable Error Trace (flat lines) across a majority of the trace. Ideally, most of the variability in the trace is restricted to the first 5% of the trees.

The second plot shows the distribution of the percent of all trees samples were used to train the model or “inbag” (the opposite of “out of bag” or OOB). For example, in the above plot, most samples were never inbag (x-axis = 0), because so few trees were run. The red lines show the expected frequencies. The goal is to run enough trees so that the observed distribution (grey bars) tightly match the expected distribution (red lines). This ensures that all samples are being used and there is a good mixing of samples in creating trees. This plot can also be generated for extracted Random Forest models using the plotInbag() function in the rfPermute package.

Remember that for our BANTER model, we used sampsize = 1 and ntree = 10 (bant.mdl <- run_BANTER_Model(bant.mdl, ntree = 10, sampsize = 1). Clearly these values were insufficient to create a stable model. We will need to increase the sample size and/or the number of trees in our model to improve performance. We suggest first increasing ntree until the trace is flat (or close). If this takes too many trees (run times are unnacceptably long), then sampsize can be incrementally increased until you are satisfied with the performance. Remember that it is best to keep sampsize less than or equal to half of the smallest species frequency.

Here we will rerun our model with an improved set of parameters and examine the difference in the results and summary information.

bant.mdl <- runBanterModel(bant.mdl, ntree = 100000, sampsize = 3)
Warning: Event model: sampsize = 3 is >= species frequencies:
  G.macrorhynchus: 1
  O.orcinus: 1
These species will be used in the model:
  D.capensis: 7
  D.delphis: 115
  G.griseus: 5
  L.obliquidens: 10
  S.coeruleoalba: 13
summary(bant.mdl)
Event model run completed at 2021-09-23 23:59:44
Number of events and model classification rate:
          species num.events    bp    dw     ec  event
1      D.capensis          7 16.96 30.86 34.000  57.14
2       D.delphis        116 25.66 27.22 16.452  74.78
3       G.griseus          5 45.60 85.44 38.400  80.00
4 G.macrorhynchus          1 22.00 58.00 30.000     NA
5   L.obliquidens         10 49.19 26.92 32.400 100.00
6       O.orcinus          1    NA    NA 36.000     NA
7  S.coeruleoalba         13 40.30 43.00  8.462  92.31
8         Overall        153 27.41 29.71 18.570  77.33

Distribution of percent correctly classified overall in last 'n' trees:
       n     Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
1.00e+06 7.73e+01 7.73e+01 7.73e+01 7.74e+01 7.73e+01 7.80e+01 

Sample inbag rate distribution:
          Min. 1st Qu. Median  Mean 3rd Qu.  Max.
expected 0.026   0.231  0.300 0.317   0.429 0.600
observed 0.025   0.026  0.026 0.100   0.027 0.601

Confusion matrix:
               D.capensis D.delphis G.griseus L.obliquidens S.coeruleoalba
D.capensis              4         1         0             0              2
D.delphis              21        86         1             0              7
G.griseus               0         0         4             1              0
L.obliquidens           0         0         0            10              0
S.coeruleoalba          1         0         0             0             12
Overall                NA        NA        NA            NA             NA
               pct.correct LCI_0.95  UCI_0.95
D.capensis        57.14286 18.40516  90.10117
D.delphis         74.78261 65.83144  82.41578
G.griseus         80.00000 28.35821  99.49492
L.obliquidens    100.00000 69.15029 100.00000
S.coeruleoalba    92.30769 63.97026  99.80544
Overall           77.33333 69.79226  83.76307

Once you are satisfied with your model, you can extract the Random Forest model (and model data) as separate objects for further analysis.

bant.rf <- getBanterModel(bant.mdl)
bantData.df <- getBanterModelData(bant.mdl)

Random Forest models for each detector can also be extracted if it is desired to explore the performance of these models independently. We will give a brief example of this below.

dw.rf <- getBanterModel(bant.mdl, "dw")
bp.rf <- getBanterModel(bant.mdl, "bp")
ec.rf <- getBanterModel(bant.mdl, "ec")

You are now ready to summarize and interpret your models and results.

2.4 Interpret BANTER Results

The summary() function provides information regarding your model results; however, conducting a ‘deep dive’ into these results will give you a better understanding of the strengths and limitations of your results and may guide you towards improving those results. Here we demonstrate a number of options for interpreting your BANTER results.

2.4.1 Model Information

Detector Names & Sample Sizes
Show the Detector Names and Sample Sizes

# Get detector names for your _BANTER_ Model
getDetectorNames(bant.mdl)
[1] "bp" "dw" "ec"
# Get Sample sizes
getSampSize(bant.mdl)
    D.capensis      D.delphis      G.griseus  L.obliquidens S.coeruleoalba 
             3              3              3              3              3 

Number of Calls & Events, Proportion of Calls
Number of calls (numCalls()), proportion of calls (propCalls()) and number of events (numEvents()) in your BANTER detector models (or specify by event/species)

# number of calls in detector model
numCalls(bant.mdl)
          species num.bp num.dw num.ec
1      D.capensis    283    350    350
2       D.delphis   4837   5444   5732
3       G.griseus    182    103    250
4 G.macrorhynchus     50     50     50
5   L.obliquidens    307    182    500
6       O.orcinus      0      0     50
7  S.coeruleoalba    134    486    650
# number of calls by species (can also do by event)
numCalls(bant.mdl, "species")
          species num.bp num.dw num.ec
1      D.capensis    283    350    350
2       D.delphis   4837   5444   5732
3       G.griseus    182    103    250
4 G.macrorhynchus     50     50     50
5   L.obliquidens    307    182    500
6       O.orcinus      0      0     50
7  S.coeruleoalba    134    486    650
# proportion of calls in detector model
propCalls(bant.mdl)
          species   prop.bp   prop.dw   prop.ec
1      D.capensis 0.2878942 0.3560529 0.3560529
2       D.delphis 0.3020671 0.3399738 0.3579592
3       G.griseus 0.3401869 0.1925234 0.4672897
4 G.macrorhynchus 0.3333333 0.3333333 0.3333333
5   L.obliquidens 0.3104146 0.1840243 0.5055612
6       O.orcinus 0.0000000 0.0000000 1.0000000
7  S.coeruleoalba 0.1055118 0.3826772 0.5118110
# proportion of calls by event (can also do by species)
#propCalls(bant.mdl, "event")
#[this is commented out as printout is long]

# number of events, with default for Event Model
numEvents(bant.mdl)
          species num.events
1      D.capensis          7
2       D.delphis        116
3       G.griseus          5
4 G.macrorhynchus          1
5   L.obliquidens         10
6       O.orcinus          1
7  S.coeruleoalba         13
# number of events for a specific detector 
numEvents(bant.mdl, "bp")
          species num.events
1      D.capensis          7
2       D.delphis        113
3       G.griseus          5
4 G.macrorhynchus          1
5   L.obliquidens         10
6       O.orcinus          0
7  S.coeruleoalba         11

2.4.2 Random Forest Summaries

The following functions are available in the rfPermute package and take a randomForest or rfPermute model object. Recall from above that the actual randomForest object can be extracted from the BANTER model with the getBanterModel() function.

Confusion Matrix
The Confusion Matrix is the most commonly used output for a Random Forest model, and is provided by summary(). The output includes the percent correctly classified for each species, the lower and upper confidence levels, and the priors (expected classification rate).

By default, summary() reports the 95% confidence levels of the percent correctly classified. By using the confusionMatrix() function, we can specify a different confidence level if desired. However, unlike summary(), confusionMatrix() takes a randomForest object like the one we extracted above.

# Confusion Matrix
confusionMatrix(bant.rf, conf.level = 0.75)
               D.capensis D.delphis G.griseus L.obliquidens S.coeruleoalba
D.capensis              4         1         0             0              2
D.delphis              21        86         1             0              7
G.griseus               0         0         4             1              0
L.obliquidens           0         0         0            10              0
S.coeruleoalba          1         0         0             0             12
Overall                NA        NA        NA            NA             NA
               pct.correct LCI_0.75  UCI_0.75
D.capensis        57.14286 29.91991  81.38837
D.delphis         74.78261 69.42635  79.56575
G.griseus         80.00000 44.36987  97.36472
L.obliquidens    100.00000 81.22524 100.00000
S.coeruleoalba    92.30769 74.89589  98.97809
Overall           77.33333 72.84083  81.34453

The confusionMatrix() function also has a threshold argument that provides the binomial probability that the true classification probability (given infinite data) is greater than or equal to this value. For example, if we want to know what the probability is that the true classification probability for each species is >= 0.80, we set threshold = 0.8:

# Confusion Matrix with medium threshold
confusionMatrix(bant.rf, threshold = 0.8)
               D.capensis D.delphis G.griseus L.obliquidens S.coeruleoalba
D.capensis              4         1         0             0              2
D.delphis              21        86         1             0              7
G.griseus               0         0         4             1              0
L.obliquidens           0         0         0            10              0
S.coeruleoalba          1         0         0             0             12
Overall                NA        NA        NA            NA             NA
               pct.correct LCI_0.95  UCI_0.95    Pr.gt_0.8
D.capensis        57.14286 18.40516  90.10117 7.453220e-96
D.delphis         74.78261 65.83144  82.41578 2.358205e-10
G.griseus         80.00000 28.35821  99.49492 7.453220e-96
L.obliquidens    100.00000 69.15029 100.00000 1.781862e-84
S.coeruleoalba    92.30769 63.97026  99.80544 4.219544e-81
Overall           77.33333 69.79226  83.76307 2.344127e-01

This shows that D. capensis has a high probability of having a true classification score above 0.8 (Pr.gt_0.8 = 79.0). Conversely, the probability that the classification rate for D.delphis is above 0.8 is very low (Pr.gt_0.8 = 6.8).

And alternative view of the confusion matrix comes in the form of a heat map.

# Plot Confusion Matrix Heatmap
plotConfMat(bant.rf, title="Confusion Matrix HeatMap") 

We can also examine confusion matrices for individual detectors, such as the whistle detector (“dw”):

dw.rf <- getBanterModel(bant.mdl, "dw")
confusionMatrix(dw.rf)
                D.capensis D.delphis G.griseus G.macrorhynchus L.obliquidens
D.capensis             108        60        30              27            40
D.delphis             1125      1482      1058             314           438
G.griseus                5         1        88               4             4
G.macrorhynchus          3         2         2              29             4
L.obliquidens           33         6        57              23            49
S.coeruleoalba         105        46         6              85            35
Overall                 NA        NA        NA              NA            NA
                S.coeruleoalba pct.correct LCI_0.95 UCI_0.95
D.capensis                  85    30.85714 26.05523 35.98648
D.delphis                 1027    27.22263 26.04354 28.42618
G.griseus                    1    85.43689 77.12024 91.61388
G.macrorhynchus             10    58.00000 43.20604 71.81178
L.obliquidens               14    26.92308 20.62919 33.98518
S.coeruleoalba             209    43.00412 38.55392 47.53993
Overall                     NA    29.70522 28.60561 30.82274
plotConfMat(dw.rf) 

Model Percent Correct
This function operates on a BANTER model object and provides a summary data frame with the percent of each species correctly classified for each detector model and the event model. It is a summary of the diagonal values from the confusion matrices for all models.

modelPctCorrect(bant.mdl)
# A tibble: 8 × 5
  species            bp    dw    ec event
  <fct>           <dbl> <dbl> <dbl> <dbl>
1 D.capensis       17.0  30.9 34     57.1
2 D.delphis        25.7  27.2 16.5   74.8
3 G.griseus        45.6  85.4 38.4   80  
4 G.macrorhynchus  22    58   30     NA  
5 L.obliquidens    49.2  26.9 32.4  100  
6 O.orcinus        NA    NA   36     NA  
7 S.coeruleoalba   40.3  43.0  8.46  92.3
8 Overall          27.4  29.7 18.6   77.3

Plot Votes
The strength of a classification model depends on the number of trees that ‘voted’ for the correct species. We can look at the votes from each of these 5,000 trees for an event to see how many of them were correct. This plot shows these votes where each vertical slice is an event, and the percentage of votes for each species is represented by their color. If all events for a species were to be correctly classified by all of the trees (votes) in the forest, then the plot for that species would be solid in the color that represents that species.

# Plot Vote distribution
plotVotes(bant.rf) 

Percent Correct
Another way to visualize this distribution is to evaluate the percent of events correctly classified for a given threshold (specified percent of trees in the forest voting for that species).

# Percent Correct for a series of thresholds
pctCorrect(bant.rf, pct = c(seq(0.2, 0.6, 0.2), 0.95))
           class pct.correct_0.2 pct.correct_0.4 pct.correct_0.6
1     D.capensis        57.14286        57.14286        28.57143
2      D.delphis        74.78261        72.17391        35.65217
3      G.griseus        80.00000        60.00000        60.00000
4  L.obliquidens       100.00000        80.00000        30.00000
5 S.coeruleoalba        92.30769        84.61538        46.15385
6        Overall        77.33333        72.66667        36.66667
  pct.correct_0.95
1                0
2                0
3                0
4                0
5                0
6                0

These values will always decrease as the percent of trees threshold increases. That is because as stringency is decreased (lower thresholds), more samples are likely to be correctly classified. These values give an indication of the fraction of events that can be classified with high certainty. As we can see in this example data, the distribution goes to zero for all species at 95%. That is there are no events in any species that are correctly classified with 95% certainty.

Plot Predicted Probabilities
The full distribution of assignment probabilities to the predicted species class can be visualized with the plotPredictedProbs() function in rfPermute. Ideally, all events would be classified to the correct species (identified by the color), and would be strongly classified to the correct species (higher probablity of assignment). This plot can be used to understand the distribution of these classifications, and how strong the misclassifications were, by species.

plotPredictedProbs(bant.rf, bins = 30, plot = TRUE)

Proximity Plot
The proximity plot provides a visualization of the distribution of events within the tree space. It shows the relative distance of events based on their average distance in nodes in the trees across the forest. For each event in the plot, the color of the central dot represents the true species identity, and the color of the circle represents the BANTER classification. Ideally, these would form rather distinct clusters, one for each species. The wider the spread of the events in this feature space, the more variation found in these predictors. Some species differentiation may be predicted by other predictors and may not be clear based on this pair of dimensions (those may be differentiated with different predictors).

# Proximity Plot
plotProximity(bant.rf)

Importance Heat Map
The importance heat map provides a visual assessment of the important predictors for the overall model. The BANTER event model relies on the mean assignment probability for each of the detectors in our detector model, as well as any event level measures. For example, in this heat map, the first variable is ‘dw.D.delphis’, which is the mean probability that a detection was assigned to the species ‘D.delphis’ in the whistle detector. This requires extra steps to dig down to the specific whistle measures that are the important predictor variables for the whistle detector.

# Importance Heat Map
plotImportance(bant.rf, plot.type = "heatmap")

2.4.3 Mis-Classified Events

By segregating the misclassified events, you can dive deeper into these data to understand why the model failed. Perhaps they were incorrectly classified in the first place (inaccurate training data) or the misclassification could be due to natural variability in the call characteristics. There are any number of possibilities, and by diving into the misclassifications, you can learn a lot about your data and your model. We do not recommend eliminating misclassifications simply because they are misclassifications. The point is to learn more about your data, not to cherry pick your data to get the best performing model.

Case Predictions If it is important to identify only strong classification results, they can be identified and filtered using the casePredictions() function in rfPermute.

casePredict <- casePredictions(bant.rf)
head(casePredict)
  id      original     predicted is.correct D.capensis   D.delphis  G.griseus
1  7     D.delphis     D.delphis       TRUE 0.30701124 0.619736950 0.04335604
2 17     G.griseus     G.griseus       TRUE 0.09098400 0.053556715 0.62640134
3 18     G.griseus     G.griseus       TRUE 0.10947770 0.087175756 0.37471778
4 26 L.obliquidens L.obliquidens       TRUE 0.18973612 0.074253257 0.10878966
5 29     G.griseus L.obliquidens      FALSE 0.03454837 0.016673343 0.19780192
6 48 L.obliquidens L.obliquidens       TRUE 0.01097020 0.009343928 0.34093211
  L.obliquidens S.coeruleoalba
1    0.01430154     0.01559422
2    0.19153080     0.03752715
3    0.21782650     0.21080227
4    0.34045468     0.28676628
5    0.53084318     0.22013319
6    0.52802465     0.11072911

This function returns a data frame with the original and predicted species for each event along with if the event was correctly classified and the assignment probabilities to each species.
To identify misclassified events, we just filter this data frame and grab the original event id.

misclass <- casePredict %>% 
  filter(!is.correct) %>%
  select(id)

We can then look closer at these events to learn more about them.

2.4.4 Variable Importance

One of the powerful features of Random Forest is the ability to assess and rank which predictors are important to the classification model. These values are based on measures of how much worse the classifier performs when the predictor variables are randomly permuted. The importance() function in the randomForest package extracts these values from a randomForest object.

# Get importance scores and convert to a data frame
bant.imp <- data.frame(importance(bant.rf))
head(bant.imp)
              D.capensis D.delphis  G.griseus L.obliquidens S.coeruleoalba
duration      -10.608887  -1.93684  44.697231     38.489814       2.450288
prop.bp       -12.904573  44.10382  -8.814194     -3.866803      79.247453
prop.dw       -14.173665  33.96121   8.326926     38.490460      29.636405
prop.ec        -6.636154  24.76544 -17.425448     13.805638      45.906180
bp.D.capensis  67.782037  43.16361   2.537205     -7.176723      -2.326022
bp.D.delphis   72.410839 153.64583  78.397274     52.827971     123.213094
              MeanDecreaseAccuracy MeanDecreaseGini
duration                  19.68322        0.2410889
prop.bp                   69.26593        0.2588237
prop.dw                   51.01576        0.2119328
prop.ec                   38.54722        0.1635294
bp.D.capensis             51.21098        0.3364764
bp.D.delphis             157.36332        0.7989866

To see the actual distribution of these values in each species, we can first identify the most important predictors (highest importance scores)

# Select top 4 important event stage predictors
bant.4imp <- bant.imp[order(bant.imp$MeanDecreaseAccuracy, decreasing = TRUE), ][1:4, ]
bant.4imp
                  D.capensis D.delphis  G.griseus L.obliquidens S.coeruleoalba
dw.D.delphis        2.616086 171.93603 137.480147     109.86163      119.93549
bp.D.delphis       72.410839 153.64583  78.397274      52.82797      123.21309
dw.S.coeruleoalba  71.456176  62.60629 120.838858     116.76347      120.01947
ec.L.obliquidens   52.239953  11.30494   1.534861     161.40676       36.82477
                  MeanDecreaseAccuracy MeanDecreaseGini
dw.D.delphis                  180.9172        1.1155779
bp.D.delphis                  157.3633        0.7989866
dw.S.coeruleoalba             152.1538        0.9644191
ec.L.obliquidens              123.6284        0.8295018

The predictors that showed the greatest importance came from the whistle (dw) detector and the burst pulse (bp) detectors. We can then plot the distribution of the predictor variables on these classes (in this case, a violin plot for each of these four most important variables).

plotImpPreds(bant.rf, bantData.df, "species", max.vars = 4)

2.5 Predict

The goal of building an acoustic classifier is to ultimately apply this classifier to novel data. It is critical to understand that we should apply our BANTER classifier to data collected in the same manner. All variables (detectors, detector measures, event-level variables) must also be the same (with the same labels). For example, novel data collected using a different hydrophone with different sensitivity curves may result in different measurements from your original model (unless the data is calibrated). Even in the case where a classifier is applied to the appropriate data, it is wise to validate a subset of this novel data.

To run a prediction model, you must have your BANTER model, and new data. Here we will use the bant.mdl object we made previously, and apply it to the test.data provided in the BANTER package.

Predict The predict() function will apply your BANTER model to novel data and provide you with a data frame with the events used in the Event Model for predictions, and a data frame of predicted species and assignment probabilities for each event.
Thepredict() function will ignore any a priori species designation in the event and detection data, so this can be specified if it is desired to compare model predictions with other identifications, or left un-specified.

data(test.data)
predict(bant.mdl, test.data)
$events
  event.id     species duration    prop.bp   prop.dw   prop.ec bp.D.capensis
1  414_415  D.capensis 27.75000 0.33333333 0.3333333 0.3333333     0.1728000
2      380   D.delphis 29.60000 1.00000000 0.0000000 0.0000000     0.1666667
3      400 F.attenuata 30.98333 0.07936508 0.1269841 0.7936508     0.1680000
  bp.D.delphis bp.G.griseus bp.G.macrorhynchus bp.L.obliquidens
1       0.1696       0.1608          0.1630000        0.1866000
2       0.0800       0.1400          0.2266667        0.1766667
3       0.1180       0.1520          0.1640000        0.2120000
  bp.S.coeruleoalba dw.D.capensis dw.D.delphis dw.G.griseus dw.G.macrorhynchus
1            0.1472       0.19080      0.18000       0.1594            0.13160
2            0.2100       0.00000      0.00000       0.0000            0.00000
3            0.1860       0.20375      0.15375       0.0525            0.17625
  dw.L.obliquidens dw.S.coeruleoalba ec.D.capensis ec.D.delphis ec.G.griseus
1           0.1694           0.16880        0.1448       0.1456       0.1674
2           0.0000           0.00000        0.0000       0.0000       0.0000
3           0.1275           0.28625        0.1212       0.1172       0.1528
  ec.G.macrorhynchus ec.L.obliquidens ec.O.orcinus ec.S.coeruleoalba   rate.bp
1             0.1318           0.1290       0.1416            0.1398 1.8018018
2             0.0000           0.0000       0.0000            0.0000 0.1013514
3             0.1428           0.1352       0.1824            0.1484 0.1613771
    rate.dw  rate.ec
1 1.8018018 1.801802
2 0.0000000 0.000000
3 0.2582033 1.613771

$predict.df
  event.id      predicted D.capensis D.delphis G.griseus L.obliquidens
1  414_415      D.delphis    0.39870   0.41218   0.05749       0.05446
2      380      G.griseus    0.11383   0.06314   0.48551       0.19883
3      400 S.coeruleoalba    0.08672   0.03502   0.15226       0.11447
  S.coeruleoalba    original correct
1        0.07717  D.capensis   FALSE
2        0.13869   D.delphis   FALSE
3        0.61153 F.attenuata   FALSE

$detector.freq
  detector num.events
1       bp          3
2       dw          2
3       ec          2

$validation.matrix
             predicted
original      D.delphis G.griseus S.coeruleoalba
  D.capensis          1         0              0
  D.delphis           0         1              0
  F.attenuata         0         0              1

3. Discussion

BANTER has been developed in a general manner such that it can be applied to a wide range of acoustic data (biological, anthropogenic). We have encouraged development of additional software (PAMpal) to facilitate BANTER classification of data analyzed in PAMGuard software. We encourage development of additional open source software to simplify BANTER classification of data analyzed using other signal processing software. While this classifier is easy to use, and can be powerful, we highly recommend that users examine their data and their results to ensure the data are appropriately applied. This is especially important when a classifier is applied to novel data for prediction purposes.

Acknowledgements

Many thanks to our original co-authors for their help in developing the original BANTER trial. Thoughtful reviews were provided by Anne Simonis and Marie Zahn. Funding for development of BANTER was provided by NOAA’s Advanced Sampling Technology Working Group.

References

Liaw, A. and M. Wiener. (2002) Classification and regression by randomForest. R News 2(3):18-22.

Rankin, S., Archer, F., Keating, J. L., Oswald, J. N., Oswald, M., Curtis, A. and Barlow, J. (2017) Acoustic classification of dolphins in the California Current using whistles, echolocation clicks, and burst pulses. Mar Mam Sci, 33: 520-540.doi:10.1111/mms.12381